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valentina_108 [34]
3 years ago
12

The graph of the function f(x) = –(x + 6)(x + 2) is shown below.

Mathematics
2 answers:
mylen [45]3 years ago
8 0

Question;

1) The function is increasing for all real values of x where

x < –4.

2) The function is increasing for all real values of x where

–6 < x < –2.

3) The function is decreasing for all real values of x where

x < –6 and where x > –2.

4) The function is decreasing for all real values of x where

x < –4.

Answer:

The correct option is;

1) The function is increasing for all real values of x where x < -4

Step-by-step explanation:

From the question we note that the vertex of the open down parabolic function f(x) = -(x+6)(x+2) is (-4, 4) with x intercept at (-2, 0)

Therefore, since the parabola is symmetric about the vertex, the other x intercept is (-6, 0)

The highest point of the function of the open down (turned, upside down) parabola is the vertex (-4, 4), also, a function is said to be increasing when the y value increases as the x value is increased

Points, f(x) values on the left of the vertex of an opened down parabola are increasing and points on the right are decreasing.

Therefore, since coordinates of points on the left of the vertex are that of x < -4, we have

The function is increasing for all real values of x where x < -4

schepotkina [342]3 years ago
7 0

Answer:

a. The function is increasing for all real values of x where  x < –4.

Step-by-step explanation:

Let me help you, I have answered this question once in Brainly as well

Given the factored form of the function:

f(x) = -(x + 6)(x+2)

<=> f(x) = -x^{2} - 8x -12

We will convert to vertex form

f(x) = -(x+4)^{2} + 4

Let analyse other possible answers:

<u>a. The function is increasing for all real values of x where  x < –4.</u>

True, because  the parameter a = - 1 so the graph open down all over its domain

<u>b. The function is increasing for all real values of x where  –6 < x < –2.</u>

Wrong, the function decrease in the interval from –4.< x < -2

<u>c. The function is decreasing for all real values of x where  x < –6 and where x > –2.</u>

Wrong, the function increase in the interval from -6 < x < -4

<u>d. The function is decreasing for all real values of x where  x < –4.</u>

Wrong,  The function is increasing  for all real values of x where  x < –4.

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A 9-pack of golf balls costs $8.74. What is the unit price, rounded to the nearest cent?
MrRa [10]

Answer:

0.97 per ball

Step-by-step explanation:

Take the total cost and divide by the number of items

8.74 /9

0.97111

Rounding to the nearest cent

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5 0
3 years ago
Please help I am so confused
Ede4ka [16]

The total cost when 881 minutes is used is $477.50.

<h3>What are the equation that model the question?</h3>

a + 480b = 277 equation 1

a + 990b = 532 equation 2

Where:

  • a = flat fee
  • b = variable fee

<h3>What is the flat fee and the variable fee?</h3>

Subtract equation 1 from equation 2

510b = 255

b = 255 / 510

b = $0.50

In order to determine the flat fee, substitute for b in equation 1

a + 480(0.5) = 277

a + 240 = 277

a = 277 - 240

a = $37

<h3>What is the total cost when 881 minutes is used?</h3>

Total cost = flat fee + (variable cost x number of minutes spoken)

$37 + (881 x 0.5) = $477.50

To learn more about simultaneous equations, please check: brainly.com/question/25875552

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7 0
1 year ago
Find the range of the function for given domain <br> f(x)=2x-7; (-2,-1,0,1,2)
Gelneren [198K]

Answer:

  {-11, -9, -7, -5, -3}

Step-by-step explanation:

Put each domain value into the function to find the corresponding range value. The range is the list of all of those values.

__

  range = f(domain)

  = 2{-2, -1, 0, 1, 2} -7 = {-4, -2, 0, 2, 4} -7

  = {-11, -9, -7, -5, -3} . . . . . the range for the given domain

_____

If you have a lot of function values to find, a spreadsheet or calculator can be helpful.

4 0
3 years ago
Jim needs to divide 762 coupon books equally among 9 stores. In which place is the first digit of the quotient? Select the word
nevsk [136]

Answer:

ones

Step-by-step explanation:

It is given that Jim wants to divide 762 coupons equally among 9 stores.

So dividing 762 by 9, we get

$=\frac{762}{9}$

= 84.66

The position of the digit before the decimal place start with 'ones' and then proceeds to tens, hundreds, thousands, etc.

Therefore, the first digit of the quotient is in the ones place of the position value or place value.

6 0
2 years ago
Scott is ordering 6 bags of cat food from canada. each bag has a mass of . to determine the shipping costs, scott needs to know
OLEGan [10]

The weight of the cat food in pounds is 99 lbs.

<h3>What is a pound?</h3>

The pound, sometimes known as pound-mass, is a unit of mass that is used in both the British imperial and American customary measurement systems.

<h3>How do we convert kg to pounds?</h3>

You multiply a weight by the conversion factor 2.2046 to change a mass measurement from kilograms (kg) to pounds (lbs).

Given that,

Mass of each bag = 7.5 Kg.

Number of bags bought = 6

Firstly, we need to find how much the cat food weighs:

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Total weight of cat food = 45kg

Next, we will require to convert the kg into pounds:

1kg = 2.2lb

45 kg = 45* 2.2

45 kg = 99 lbs

Therefore, the weight of the cat food in pounds id 99lbs.

To learn more about pound, visit:

brainly.com/question/27994061

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